THE ALTERNATING DIRECTION METHODS FOR SOLVING THE SYLVESTER-TYPE MATRIX EQUATION AX B + CX ⊤ D = E

In this paper, we present two alternating direction methods for the solution and best approximate solution of the Sylvester-type matrix equation AX B + CX⊤ D = E arising in the control theory, where A, B, C, D and E are given matrices of suitable sizes. If the matrix equation is consistent (inconsis...

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Veröffentlicht in:	Journal of computational mathematics 2017-09, Vol.35 (5), p.620-641
Hauptverfasser:	Ke, Yifen, Ma, Changfeng
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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